To factor the expression [tex]\(3v - 18\)[/tex], let's break it down step-by-step:
1. Identify the Greatest Common Factor (GCF):
First, find the GCF of the terms in the expression. Here, the terms are [tex]\(3v\)[/tex] and [tex]\(-18\)[/tex].
- The coefficient of [tex]\(v\)[/tex] is 3.
- The constant term is [tex]\(-18\)[/tex].
The GCF of 3 and 18 is 3.
2. Factor Out the GCF:
We will factor out the GCF from each term of the expression.
- [tex]\(3v\)[/tex] divided by 3 is [tex]\(v\)[/tex].
- [tex]\(-18\)[/tex] divided by 3 is [tex]\(-6\)[/tex].
So, we can write the expression as:
[tex]\[
3(v) - 3(6)
\][/tex]
3. Write the Expression in Factored Form:
Now, combine the terms inside the parenthesis with the GCF outside:
[tex]\[
3(v - 6)
\][/tex]
So, the factored form of the expression [tex]\(3v - 18\)[/tex] is [tex]\(\boxed{3(v - 6)}\)[/tex].
